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Simplifying 0.66(n + -6) = 5n + -43 Reorder the terms: 0.66(-6 + n) = 5n + -43 (-6 * 0.66 + n * 0.66) = 5n + -43 (-3.96 + 0.66n) = 5n + -43 Reorder the terms: -3.96 + 0.66n = -43 + 5n Solving -3.96 + 0.66n = -43 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -3.96 + 0.66n + -5n = -43 + 5n + -5n Combine like terms: 0.66n + -5n = -4.34n -3.96 + -4.34n = -43 + 5n + -5n Combine like terms: 5n + -5n = 0 -3.96 + -4.34n = -43 + 0 -3.96 + -4.34n = -43 Add '3.96' to each side of the equation. -3.96 + 3.96 + -4.34n = -43 + 3.96 Combine like terms: -3.96 + 3.96 = 0.00 0.00 + -4.34n = -43 + 3.96 -4.34n = -43 + 3.96 Combine like terms: -43 + 3.96 = -39.04 -4.34n = -39.04 Divide each side by '-4.34'. n = 8.995391705 Simplifying n = 8.995391705
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